The combinatorics of $\tau$-covers

by Mildenberger and Shelah and Tsaban. [MShT:858]
Topology and its Applications, 2007
We compute the critical cardinalities for some topological properties involving tau-covers. A surprising structure counterpart of one of the computations is that, using Scheepers' notation: If X^2 satisfies S_fin (Gamma,T), then X satisfies Hurewicz' property U_fin (Gamma, Gamma) . Some results on the additivity of these properties and special elements are also provided.


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